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383245856 = 25722331049
BaseRepresentation
bin10110110101111…
…101111000100000
3222201010220110222
4112311331320200
51241102331411
6102010142212
712332351600
oct2665757040
9881126428
10383245856
11187372314
12a8421968
13615266c6
1438c82c00
15239a44db
hex16d7de20

383245856 has 72 divisors (see below), whose sum is σ = 882308700. Its totient is φ = 163387392.

The previous prime is 383245847. The next prime is 383245861. The reversal of 383245856 is 658542383.

It can be written as a sum of positive squares in 2 ways, for example, as 380874256 + 2371600 = 19516^2 + 1540^2 .

It is a super-2 number, since 2×3832458562 = 293754772282345472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364820 + ... + 365868.

Almost surely, 2383245856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383245856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441154350).

383245856 is an abundant number, since it is smaller than the sum of its proper divisors (499062844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

383245856 is a wasteful number, since it uses less digits than its factorization.

383245856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1291 counting only the distinct ones).

The product of its digits is 691200, while the sum is 44.

The square root of 383245856 is about 19576.6661104489. Note that the first 3 decimals coincide. The cubic root of 383245856 is about 726.3721021779.

The spelling of 383245856 in words is "three hundred eighty-three million, two hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 233 392 466 784 932 1049 1568 1631 1864 2098 3262 3728 4196 6524 7343 7456 8392 11417 13048 14686 16784 22834 26096 29372 33568 45668 51401 52192 58744 91336 102802 117488 182672 205604 234976 244417 365344 411208 488834 822416 977668 1644832 1710919 1955336 3421838 3910672 6843676 7821344 11976433 13687352 23952866 27374704 47905732 54749408 95811464 191622928 383245856